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简介 O{B[iy(C )v4?+$g 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 ;k<n}shD Hl@)j 模型 n'dxa<F2| /1h
0l; 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 01UEd8 *2$I,
~(P Table 1. AZ眼睛模型的定义 0cd`. ZF 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. )^G&p[G
P[l? 光源 s@WF[S7D [c{/0* 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 > @Ux8# qac4GZ "zT#*>U 图1. 光源和提示信息使用 LLa72HW 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ~y#jq,i/ B{:JD^V! 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 =h`yc$
A(2 QasUgZ 图2. 字母F光源的设定方法光 z[7j`J|Kk
>&1MD} 图3. 字母F在视网膜上位置点列图 hXvg<Rf 视网膜的散射 UR/lM,N; "y %S.ipWG 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ^>g7Kg"0 J9tQ@3{f fgb%SIi? 图4. 视网膜朗伯散射设定 i[gq8% 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 '
9K4A'2[ ERql^Yr 7~t,Pt) 图5. 视网膜重点采样规格设定 mP1EWh| 脚本 t+R8{9L- Ol }^'7H 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: uP'x{Pr) N8<Wm>GLX~ 图6. 用户对话框的创建与编辑 sC8C><y
图7. 用户对话框编辑器 rPK)=[MZ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Z#-:zD7_ 余下的脚本计算与屈光度有关的所有参数。 l?+67cQLA {=(GY@yU/ 分析 C?UV3 mN_KAln 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 07zbx6:t 0>uMR{ # 图7. 字母F在视网膜上颜色分析 MX=mGfoa 脚本代码 n4albG4 E^I|%F Option Explicit 'Remove this to enable non-dimensioned variables to be used. E~=`Ac,G2 [")3c)OH| Dim entity As T_ENTITY @O;gKFx Dim op As T_OPERATION z|VQp,ra Dim mat As T_MODELMATERIAL _uvRC+~R Dim A As Double QEl:>HG Dim pupilDiam As Double @`qhQ Dim eID As Long |Rh%wJ Dim parID As Long +V"t't7 Dim count As Integer I8|7~jRB Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ])dq4\Bw Dim tlens As Double, nlens As Double J|DID+M Dim curv As Double, conic As Double JEF2fro:Z Dim ok As Long N:#"4e 80X #V Sub Main !n<vN@V*3d '\I.P '用户输入对话框 9{gY|2R_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 pw^$WK TextBox 220,21,40,21,.TextBox1 'default: 0 wnaT~r@U' Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 CJ*8x7-t OKButton 40,91,90,21 ?GdoB7(% CancelButton 190,91,90,21 sN6R0YW Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j@jaFsX| TextBox 220,49,40,21,.TextBox2 'default: 4 (#Vkk]-p End Dialog x|#R$^4CY Dim dlg As UserDialog 3`ov?T(H %P!6cyQS ok = Dialog (dlg) !J 3dlUFRO Tw:j}ERq If ok=0 Then 'cancel button was pressed W^}fAcQKH Print "Execution cancelled." }O_kbPNw End \,YF['Qq End If 3I87|5V,Z ]>E)0<t 'Assign accommodation and pupil diameter & use defaults if field left empty 5PY,}1` If dlg.TextBox1 = "" Then d5/x2!mH8 A = 0 'Default accommodation hn: Else >w,o|
A = CDbl(dlg.TextBox1) i:9f# End If '&?OhSeN #S?xRqkc If dlg.TextBox2 = "" Then K`|%-k+D pupilDiam = 4 'Default pupil diameter tI2V)i! Else {)E)&lL pupilDiam = CDbl(dlg.TextBox2) JI TQ3UL:W End If oBfh1/<<a )bJS*# Print " " B@P +b*% Print "Accommodation = " & A & " Diopters" aRPpDSR?l Print "Pupil Diameter = " & pupilDiam & " mm" (9!$p|d* X?m"86L ' Calculate new parameters with accommodation _J'V5]=4 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 84xA/BR W }m!L2iK4qk Rant = 12.0 - 0.4*A 'Radius of anterior lens )f#raXa5+ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 5F#Q1gP- nE$8-*BZ_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens WCK;r{p%I CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens oMM+af r_8[}|7; tlens = 3.767 + 0.04*A 'Lens thickness L9,;zkgo >LvQ&fAo nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $yd "bJK xq#YBi, 'Adjust parameters to account for accommodation N~c Y ~a l~|x*JTq '*************************************************************************
58S >B' 'Aqueous thickness (Position of Lens) {s ]yP_ '************************************************************************* o>(I_3J[p eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l/(|rl#6 GetCustomElement eID, entity +M@,CbqD ,ALEfepo parID = FindFullName( "Geometry.Arizona Eye" ) @|3PV x4b.^5"`: ' Delete any shift(s) in z 7x6q:4Ep\ count = 0 @xKfqKoqg While GetOperationCount(eID)>count Y9YE:s GetOperation eID, count, op nT(Lh/ If op.Type="ShiftZ" Then *@2+$fgz DeleteOperation eID,count [SnnOq Ww count=count-1 ^oykimYI- End If w(>mP9Cb count=count+1 ~"eQPTd Wend A6ar@$MZ n U0 'Set new shift in dm;C @.ML op.Type = "ShiftZ" ;nzzt~aCC op.val1 = taq UbWeE,T~S op.parent = parID hn$l<8=Q_ AddOperation eID, op e}F1ZJz Print "Set aqueous humor thickness = " & taq-0.55 ,CGq_>Z VLLE0W _] '************************************************************************* mA{G:
d 'Radius and conic constant of anterior lens G@Jl4iHug" '************************************************************************* @;^7kt eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) C r A7lu' GetConic eID, entity, curv, conic u~JCMM$ zO@7V>2 SetConic eID, entity, 1/Rant, CCant &]d-R Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant dV~d60jOF #kmZS/" '************************************************************************* oRp;9 'Radius and conic constant of posterior lens ;+86q"&n '************************************************************************* #b^x! lR eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) rM|] }M=_V GetConic eID, entity, curv, conic k&<cFZU ~8rVf+bg3 SetConic eID, entity, 1/Rpost, CCpost ~s$
jiA1 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 0 It[Pa qG <KBzZ
!n5 '************************************************************************* )&jE<C0 'Lens thickness (Position of posterior lens surface) mN!5JZ'2 '************************************************************************* <'Ppu -Hx._I$l parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vt(A?$j|A $qvk9 B0E ' Delete any z-shift(s) F:3*i^ L count = 0 k+D32]b@ While GetOperationCount(eID)>count 49e~/YY GetOperation eID, count, op dn? #}^," If op.Type="ShiftZ" Then G$P|F6
DeleteOperation eID,count sKIpL(_I$ count=count-1 #z(JYw, End If |=\w b^l+ count=count+1 U\<8}+x Wend &efwfnG< W-72&\7 'Set new z-shift }3}{} w0Y op.Type = "ShiftZ" $@VQ{S op.val1 = tlens c:$W5j('Z op.parent = parID 8J5{}4s\f AddOperation eID, op c@uNA0
p Print "Set lens thickness = " & tlens ^")SU(` j/C.='?% '************************************************************************* 7aV(tMzd 'Lens index of refraction BLno/JK0} '************************************************************************* .b3cn eID = FindMaterial( "Lens" ) vvsQf% GetModelMaterial eID, mat ec$kcD!
Z>O2 mat.Nd = nlens F74^HQ*J SetModelMaterial eID, mat `.0WK Print "Set lens index of refraction = " & nlens K~U5jpc xe=/T#% '************************************************************************* "b#L8kN 'Pupil diameter o1d ECLQa '************************************************************************* e2P
ds` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 0Ud.u RCgn\ 'Adjust pupil diameter (trimming volume inner hole) 3T<aGW1 a$7}41F[~s SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" `Dn"<-9: ;I#f:UQ ' Adjust pupil location to just in front of the lens Bq20U:f parID = FindFullName( "Geometry.Arizona Eye" ) ~.dmfA{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /W vgC) count = 0 AJ:(NV1= While GetOperationCount(eID)>count 3~r>G GetOperation eID, count, op Pd~{XM,yfW If op.Type="ShiftZ" Then =Eh~ wm
DeleteOperation eID,count GJ3@".+6 count=count-1 G!^}z(Mgi End If sK&[sN33 count=count+1 k3w(KH@ Wend :M |<c9I
op.Type = "ShiftZ" {FrcpcrQa op.val1 = taq-0.01 '/ >7pB op.parent = parID c(R=f+ AddOperation eID, op q#mw#Uw- &F!Ct(c99 Print "Set pupil diameter = " & pupilDiam -/7[\S qi&;2Yv 'Update AZ Eye subassembly Description 1
po.Cmx eID = FindFullName( "Geometry.Arizona Eye" ) c^?+"7oO0 GetEntity eID, entity A:?|\r entity.Description = "Accommodation = " & A & "D" v'vYNh SetEntity eID, entity m"r=p {Y(# <UDM Update 3O'6 Ae Print "DONE!" sgc pH uxjx~+qFd End Sub k^Gf2%k !97k 如果屈光度是4,光瞳直径是4,则会输出如下数据: iz0GL&< [|&V$ Accommodation = 4 Diopters J'=iEI Pupil Diameter = 4 mm z"vI-~,YU Set aqueous humor thickness = 2.81 65>1f Set anterior lens radius = 10.4 and conic constant = -2.375869 kw gsf5[ Set posterior lens radius = -4.424557 and conic constant = -3.081019 UrP jZ:K' Set lens thickness = 3.927 T"tR*2HwSd Set lens index of refraction = 1.42672 EJz?GM Set pupil diameter = 4 z
:q9~ DONE! +'@j~\>^yJ
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